9. (a) Determine exact values for a and b so that the exponential function g(t) = ab' passes through the points (11,9) and (14, 7). Show all of your work and thinking fully. (b) By selecting constants a, b, and c, give an example* of a function of the form f(t) = c + ab' that has the following properties: f is always increasing, f is always concave down, and as t - co, f(t) - 13.19. Write at least one sentence to explain how you chose your values of a, b, and c, and why you picked "+" or "-". Justify clearly why your choices result in the function's value approaching 13.19 as t - co. (* there are many, many examples that work; you just need to think about the characteristics of f and what you need to be true of a, b, and c.)